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Finding the Third Proportional to 20,514.75 and 43,578.75

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Solution

The third proportional to 20,514.75 and 43,578.75 is: 92,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.75 : 43,578.75 = 43,578.75 : x
  2. Step 2: Convert to fraction form
    20,514.75/43,578.75 = 43,578.75/x
  3. Step 3: Cross multiply
    20,514.75x = 43,578.75 × 43,578.75
  4. Step 4: Simplify right side
    20,514.75x = 1,899,107,451.56
  5. Step 5: Solve for x
    x = 1,899,107,451.56/20,514.75
  6. Step 6: Final answer
    x = 92,572.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.